Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C2×C17×#125 ⋊ C4 |
| Sylow | C17 ⋊ #14709 |
1662 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=efh,c^2=g,d^2=f,b^a=be,c^a=cf,d^a=dg,i^a=i^4,i^b=i^13,i^h=i^16200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1099204);